Alicia is a nurse.

In 2016, she earned a monthly salary of £1750

In 2017, she was awarded a 2% pay increase on her monthly salary.

Given that in 2017 Alicia worked 45 hours per week for 48 weeks,

work out her average pay per hour for the year.







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(P.s: must be 2 answers pls)
Thanks

Answer:

The constant of variation for direct variation is k = y/x.

So we have k = y/x = 5/8

To find y when x = 4, we can use the equation y = kx.

y = kx = (5/8) * 4 = 5

So when x = 4, y = 5

Answer:

D, D, B, A, None

Step-by-step explanation:

-15 + -14 + -13 + -12 = -54

-12 + -10 + -8 + -6 = -36

16+ 18+ 26 = 54

-10 + -8 + -6 + -4 = -28

No answers are correct...

Answer:

2

Step-by-step explanation:

literally just 2 it's quite simple

The line y = 4.08x + 63.13 is a good fit for this data because it accurately represents the positive relationship between median household income and the number of adults with bachelor's degrees in the 50 U.S. states.

Given that a scatter plot of median household income x and the number of adults per 1,000 people with bachelor's degrees y for 50 U.S. states. The line y = 4.08x + 63.13 is suggested to be a good fit for this data.

To understand why this line is a good fit, to consider its equation. In this case, y represents the number of adults per 1,000 people with bachelor's degrees, and x represents the median household income in thousands of dollars.

The equation of the line is y = 4.08x + 63.13. This means that for every increase of $1,000 in median household income, the number of adults with bachelor's degrees increases by 4.08 per 1,000 people. The intercept of the line is 63.13, which represents the number of adults with bachelor's degrees when the median household income is $0.

By analyzing the scatter plot, we can see that the points are roughly linear and show a positive correlation between median household income and the number of adults with bachelor's degrees. The line represents the best fit for this data because it minimizes the distance between the line and the points on the scatter plot.

Hence, the line y = 4.08x + 63.13 is a good fit for this data because it accurately represents the positive relationship between median household income and the number of adults with bachelor's degrees in the 50 U.S. states.

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Answer:

-14x+6

Step-by-step explanation:

first, we distribute the -3.

-3(4x - 2) - 2x=-12x+6-2x

than, we conbide like terms

-12x+6-2x=-14x+6

To determine which points represent an approximate solution to the system of equations, we need to substitute the x and y values of each point into the equations and check if they satisfy both equations.

Let's evaluate each option:

1) (1.5, 1):

  Substituting x = 1.5 and y = 1 into the equations:

  For the first equation: y = 1/(1.5) - 3 = -1.33, which is not equal to 1.

  For the second equation: y = 3 - (1.5)^3 = -0.125, which is not equal to 1.

  Therefore, (1.5, 1) is not an approximate solution to the system of equations.

2) (1.5, -0.7):

  Substituting x = 1.5 and y = -0.7 into the equations:

  For the first equation: y = 1/(1.5) - 3 = -1.67, which is not equal to -0.7.

  For the second equation: y = 3 - (1.5)^3 = -0.125, which is not equal to -0.7.

  Therefore, (1.5, -0.7) is not an approximate solution to the system of equations.

3) (1.6, 1.6):

  Substituting x = 1.6 and y = 1.6 into the equations:

  For the first equation: y = 1/(1.6) - 3 = -1.35, which is not equal to 1.6.

  For the second equation: y = 3 - (1.6)^3 = -0.54, which is not equal to 1.6.

  Therefore, (1.6, 1.6) is not an approximate solution to the system of equations.

4) (2.9, -22.8):

  Substituting x = 2.9 and y = -22.8 into the equations:

  For the first equation: y = 1/(2.9) - 3 = -2.67, which is not equal to -22.8.

  For the second equation: y = 3 - (2.9)^3 = -17.929, which is not equal to -22.8.

  Therefore, (2.9, -22.8) is not an approximate solution to the system of equations.

None of the given points represent an approximate solution to the system of equations.

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7/16 maybe

...............

Answer:

7/16

Step-by-step explanation:

the relative

frequency probability that a randomly

selected pastry will be a chocolate

pastry is 7/16

The domain of the given exponential function is also all real numbers. We can calculate it in the following manner.

The given exponential function is obtained by taking the negative of the original function f(x) = 2^(-x+1) and then subtracting 1 from it. Since the original function has a horizontal asymptote at y=0 and the given function has a horizontal asymptote at y=1, we need to flip the graph of the given function over the x-axis to obtain the graph of the original function.

The point (0, -6) on the given graph corresponds to the point (0, 5) on the graph of the original function, and the point (1, -3) on the given graph corresponds to the point (1, 2) on the graph of the original function.

The general form of an exponential function is f(x) = a^x, where "a" is a positive constant. In this case, we have f(x) = 2^(-x+1), so "a" is equal to 2^1 = 2.

Since "a" is positive, the domain of the function is all real numbers. Therefore, the domain of the given exponential function is also all real numbers.

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Answer:

its the 2nd one

Step-by-step explanation:

just did it on edge

Answer:

2.23 this the answer use the calculator

Answer:

to differential calculus, because I don't know how to answer this question without

using it.

We're told that Jason's height above the water is  H(t) = -16t² + 16t + 480 .

We can observe many things from this equation:

-- Up is the positive direction; down is the negative direction.

-- The acceleration of gravity is 32 ft/sec² .

-- Jason jumps upward from the cliff, at 16 ft/sec .

-- The cliff is 480-ft above the water.

(This tells us why the question is only concerned with his maximum height,

and then it ends ... 480-ft is one serious cliff, and what happens after the

peak of his arc is too gruesome to contemplate.)

In any case, his vertical velocity is the first derivative, with respect to time,

of his height above the water.

        V = -32 t + 16

At the peak of his arc, where gravity takes over, his velocity changes from

upward to downward, and it's momentarily zero.

                                          0 = -32t + 16

Add  32t  to each side:    32t = 16

Divide each side by  32:      t = 1/2 second

His height at that instant is     H(0.5) = -16(0.5)² + 16(0.5) + 480 =

                                          4-ft above the cliff,  484-ft above the water,

and then he begins falling from that altitude.

The duration of his dive is      484 = 16 t²

                                                  t = √(484/16) = 5.5 seconds

and he hits the water at      V = a t = (32) x (5.5) = 176 ft/sec = exactly 120 mph

Step-by-step explanation:

Rational numbers are numbers which can be expressed as a fraction or in decimals. Integers, Whole numbers, Natural numbers are rational.

======================================================

Rational numbers between -1/7 and 2/7 : -

Make a number line and find the numbers between the two given numbers.

Answer:

x=1

Step-by-step explanation:

Perimeter of the square is 4 times the side = 4*(4x-1)

Perimeter of Rectangle = 2 L + 2 W = 2*(2x+2) + 2*2x

4*(4x-1) = 2*(2x+2) +4x

16x-4= 4x+4+4x

16x-4 = 8x+4

16x-8x = 4+4

8x = 8

x = 8/8

x=1

Hope this helps!^^

The equation of the line is y = (3/2)x +5.

A line is a perfectly straight, one-dimensional shape that extends endlessly in both directions and has no thickness.

Given that, the line passes through points (2,8) and has a slope of 3/2.

The equation of the line in point-slope form is:

y - y₁= m (x -x ₁)

Substitute (x₁,y₁) = (2,8) and m = 3/2 into the above equation,

y - 8 = 3/2 (x -2)

y - 8 = (3/2)x -3

y = (3/2)x -3 +8

y = (3/2)x +5

Hence, the equation of the line is y = (3/2)x +5.

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This expression yields: 4x^8 = 4 * (1/4)^(8/3)

If the expression 4x^3 is equal to 1 for some value of x, we can find the value of x by solving the equation:

4x^3 = 1

Dividing both sides of the equation by 4, we get:

x^3 = 1/4

Taking the cube root of both sides, we find:

x = (1/4)^(1/3)

Now, to determine the value of the expression 4x^8 for the same value of x, we substitute the value of x into the expression:

4x^8 = 4 * ((1/4)^(1/3))^8

Simplifying this expression yields:

4x^8 = 4 * (1/4)^(8/3)

Further simplification depends on whether you want an exact answer or an approximation. If you need an approximate value, please provide the desired level of precision.

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Answer:

X=2

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation

2x2 = 4

so

4+1 =5

5x5 =25 ez

Answer:

\( \purple { \bold{ \frac{ (x - 3)}{3x - 18} }}\)

Step-by-step explanation:

\( \frac{x + 3}{ {x}^{2} + 7x + 12 } . \frac{ {x}^{2} + x - 12}{3x - 18} \\ \\ = \frac{x + 3}{ {x}^{2} + 4x + 3x + 12 } . \frac{ {x}^{2} + 4x - 3x - 12}{3(x - 6)} \\ \\ = \frac{x + 3}{ {x}(x + 4) + 3(x + 4) } . \frac{ {x}(x + 4) - 3(x + 4)}{3(x - 6)} \\ \\ = \frac{ \cancel{(x + 3)}}{ (x + 4) \cancel{(x + 3)} } . \frac{ (x + 4) (x - 3)}{3(x - 6)} \\ \\ = \frac{1}{ \cancel{ (x + 4)} } . \frac{ \cancel{ (x + 4)} (x - 3)}{3(x - 6)} \\ \\ \red{ \bold{= \frac{ (x - 3)}{3x - 18} }}\\ \\ \)

The value of x will make △ONM similar to △SRQ by the SAS similarity theorem is (2/5).

Let us consider the triangles △ONM and △SRQ. To prove their similarity, we need to show that they have two pairs of corresponding angles that are congruent and a proportional side length.

We can see that angle O is congruent to angle S because they are vertical angles. Angle N is congruent to angle R because they are alternate interior angles formed by parallel lines.

To find the proportional side length, we can use the fact that the corresponding sides of similar triangles are proportional. In this case, we can compare the sides ON and SR since they are corresponding sides. We can set up a proportion:

ON / SR = OM / RQ

Since we know that OM = 8 and RQ = 20, we can substitute those values into the proportion and simplify:

ON / SR = 8 / 20

ON / SR = 2 / 5

Now, we can solve for ON by multiplying both sides of the equation by SR:

ON = (2 / 5) x SR

Therefore, we can say that if we set x equal to 2/5 of the length of SR, then the triangles △ONM and △SRQ will be similar by the SAS similarity theorem.

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Complete Question:

What value of x will make △ONM similar to △SRQ by the SAS similarity theorem?

Answer:

11 units

Step-by-step explanation:

simply subtract -3 from 8, which is the same as adding 3 and 8, so the answer is 11 units.

Answer:

11 units

Step-by-step explanation:

Answer:

15,-2

Step-by-step explanation:

Answer:

(18,2)

Step-by-step explanation:

Let's start by determining the transformation of Rectangle J′K′L′M′

We can look at L.

In the original rectangle, L is at (-4,-2)

In the transformation, L' is at (9,-5)

|-4-9|=|-13|=13

|-2-(-5)|=|-2+5|=3

So the transformation is 13 units right and 3 units down.

In trapezoid STUV, the coordinates of T are are (5,5)  

We need to move it 13 units left and 3 units down.

This means we add 13 to the x coordinate and subtract 3 from the y coordinate.

5+13=18

5-3=2

The location of T' will be (18,2)

ANSWER CREDIT: anna2023147

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

(I DID NOT COME UP WITH THIS RESPONSE)

Answer:

Yes, the porch forms a right triangle as:

Explanation:

Here, we want to check if the porch is a right triangle

For the Porch to be a right triangle, Pythagoras' theorem must be obeyed

For Pythagoras' theorem, we have it that:

The square of the hypotenuse (the longest side of the triangle) is equal to the sum of the squares of the two other sides

In this particular example, 70 ft represents the hypotenuse

Thus, since:

We can conclude that the Porch forms a right triangle

To determine the most appropriate comparison of the spreads let's analyze the statements provided:

A. The median for brand A, $75, is greater than the median for brand B, $80.

This statement compares the medians of the two brands. However, the question is asking for a comparison of spreads, not medians.

B. The interquartile range (IQR) for brand A, $10, is less than the IQR for brand B, $20.

This statement compares the interquartile ranges (IQRs) of the two brands. The IQR represents the spread of the middle 50% of the data. If brand A has an IQR of $10 and brand B has an IQR of $20, it means that the range between the first quartile (Q1) and the third quartile (Q3) for brand A is smaller than that of brand B.

C. The interquartile range (IQR) for brand A, $20, is less than the IQR for brand B, $75.

This statement incorrectly states the IQR values for both brands. It states that the IQR for brand A is $20, which contradicts the information given in option B, and the IQR for brand B is $75.

D. The interquartile ranges (IQRs) for brands A and B are both $20.

This statement assumes that both brands have the same IQR value of $20. However, the box plots do not provide any information to support this claim.

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Answer:

Step-by-step explanation:

Givens

Flight speed there = 12 feet / second

Flight speed back = 8 feet / second

Total time = 22 minutes

Time at rest = 18 minutes

Time in flight = 22 - 18 = 4 minutes

Equation

Let the time going to the flowerbed = t

12*t + 8*t + 18 = Distance travelled + time at rest.

Answer

12*t + 8*t + 18 = Distance travelled + time at rest

Organizations that build strategic information systems create systems that are paramount to business success. The correct option is(D).

Strategic information systems are those that support the long-term goals and objectives of an organization, aligning the use of technology with the strategic direction of the business. These systems provide a competitive advantage by enabling the organization to achieve its strategic goals and objectives more efficiently and effectively.

They typically involve the integration of different types of information systems, such as transaction processing systems, decision support systems, and executive information systems, to support the decision-making process at all levels of the organization.

By building strategic information systems, organizations can improve their overall performance, enhance their operational efficiency, and gain a competitive advantage in the marketplace.

Such systems can help organizations to better understand their customers, identify new market opportunities, improve supply chain management, and optimize business processes.

In today's rapidly changing business environment, strategic information systems are essential for organizations to remain competitive and achieve long-term success.

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Alice's state income tax based on the state's variable income tax rates will be $380.90.

Variable income tax rates imply different tax rates for each tax bracket.

Variable income tax rates involve many marginal tax rates that are not fixed.

Unlike a fixed rate, variable tax rates are graduated and increase as income exceeds some marginal amounts.

With variable income tax rates, different income amounts are taxed at different tax rates to ensure that the tax is progressive.

For proportional tax systems, the tax rate is fixed and applies a fixed percentage on the taxable income in determining the income tax liability.

Alice's earnings = $30,050

$20,000 x 1% = $200

$10,050 x 1.8% = $180.9

Total tax liability = $380.90 ($200 + $180.90)

Thus, Alice will pay a state income tax of $380.90.

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Answer:

recipe 2

Step-by-step explanation:

Answer: /Here E N G E N U I T Y people/

Step-by-step explanation:

The probability that a randomly selected adult has an IQ less than 140 is approximately 0.9772 or 97.72%.

To find the probability that a randomly selected adult has an IQ less than 140, we need to calculate the z-score and then use the standard normal distribution table.

The z-score can be calculated using the formula:

z = (x - μ) / σ

In this case, x = 140, μ = 100, and σ = 20.

z = (140 - 100) / 20

z = 40 / 20

z = 2

Now, we can use the standard normal distribution table or a calculator to find the probability associated with a z-score of 2. Looking up the z-score of 2 in the table, we find that the probability is approximately 0.9772.

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Using the given data points, we can approximate the underlying function f(x) and estimate the value of f(0.25) to be 0.8619948.

We are given a set of data points, where i represents the independent variable (x) and fi represents the corresponding dependent variable (f(x)). The goal is to determine the underlying function f(x) and approximate its value at x = 0.25.

To approximate the function, we can use various methods such as interpolation or curve fitting. One common approach is polynomial interpolation. Since we have three data points (i = 0, 1, 2) and their corresponding function values (fi = 0.86, 1.99, -0.5), we can use a quadratic polynomial to fit the data.

Using these three points, we can construct a quadratic polynomial of the form f(x) = ax^2 + bx + c. By substituting the data points into the equation, we can obtain a system of equations to solve for the coefficients a, b, and c. After solving the system of equations, we find that the quadratic polynomial that best fits the data is f(x) = -0.72x^2 + 1.08x + 0.86.

Finally, we can estimate the value of f(0.25) by substituting x = 0.25 into the derived quadratic equation:

f(0.25) = -0.72(0.25)^2 + 1.08(0.25) + 0.86 = 0.8619948.

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A distribution is a way of displaying data, consisting of three primary components: shape, center, and spread. The shape is the overall pattern of the distribution, while the center is the point where the distribution is balanced. The spread is the range of values of the data, often measured by the standard deviation or the interquartile range (IQR). The distribution can be visualized through graphs like histograms, box plots, or scatter plots.

A brief description of a distribution should include its shape, center, and spread. The spread is the term that should be included in the blank space.A distribution can be described as a way of displaying data. It gives us an idea about how the data are spread out.

The three primary components of any distribution are the shape, center, and spread. Shape refers to the overall pattern of the distribution. It tells us whether the data are symmetric or skewed. The symmetry means that the left half of the distribution is a mirror image of the right half, whereas a skewed distribution is not symmetrical. The tail of a distribution describes the spread of a skewed distribution. It refers to the parts of the distribution that extend out from the center of the graph.The center refers to the point where the distribution is balanced. In symmetric distributions, the center is the same as the mean and median. However, in a skewed distribution, the mean and median differ from each other.

The spread refers to the range of values of the data. It tells us how much the data are scattered or spread out. A small spread indicates that the data points are close to each other, while a large spread suggests that the data points are far from each other. It is often measured by the standard deviation or the interquartile range (IQR).The distribution of data can be visualized through different graphs like histograms, box plots, or scatter plots.

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